7,340 research outputs found
Critical behavior of --model with antisymmetric tensor order parameter coupled with magnetic field
The critical behavior of --model with antisymmetric tensor
order parameter at charged regime is studied by means of the field theoretic
renormalization group at the leading order of -expansion (one-loop
approximation). It is shown that renormalization group equations have no
infrared attractive charged fixed points. It is also shown that anomalous
dimension of the order parameter in charged regime appears to be gauge
dependent.Comment: 6 pages; the talk presented at 19th International Seminar on High
Energy Physics "QUARKS-2016
On the Fourier transform of the characteristic functions of domains with -smooth boundary
We consider domains with -smooth boundary and
study the following question: when the Fourier transform of the
characteristic function belongs to ?Comment: added two references; added footnotes on pages 6 and 1
Fermions on one or fewer Kinks
We find the full spectrum of fermion bound states on a Z_2 kink. In addition
to the zero mode, there are int[2 m_f/m_s] bound states, where m_f is the
fermion and m_s the scalar mass. We also study fermion modes on the background
of a well-separated kink-antikink pair. Using a variational argument, we prove
that there is at least one bound state in this background, and that the energy
of this bound state goes to zero with increasing kink-antikink separation, 2L,
and faster than e^{-a2L} where a = min(m_s, 2 m_f). By numerical evaluation, we
find some of the low lying bound states explicitly.Comment: 7 pages, 4 figure
An estimation of ionizing radiation levels near the 10 GeV Synchrophasotron of the Joint Institute for Nuclear Research
Size-independent Young's modulus of inverted conical GaAs nanowire resonators
We explore mechanical properties of top down fabricated, singly clamped
inverted conical GaAs nanowires. Combining nanowire lengths of 2-9 m with
foot diameters of 36-935 nm yields fundamental flexural eigenmodes spanning two
orders of magnitude from 200 kHz to 42 MHz. We extract a size-independent value
of Young's modulus of (453) GPa. With foot diameters down to a few tens of
nanometers, the investigated nanowires are promising candidates for
ultra-flexible and ultra-sensitive nanomechanical devices
A single structured light beam as an atomic cloud splitter
We propose a scheme to split a cloud of cold non-interacting neutral atoms
based on their dipole interaction with a single structured light beam which
exhibits parabolic cylindrical symmetry. Using semiclassical numerical
simulations, we establish a direct relationship between the general properties
of the light beam and the relevant geometric and kinematic properties acquired
by the atomic cloud as its passes through the beam.Comment: 10 pages, 5 figure
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